editing disabled

Omnitetrachordal MOS scale
12L+7s
19 tones (8+3+8)

Meantone MOS; P<0 (oddly, neither this scale nor its dual can be tuned with a perfect 3/2!)

P = -4.8459060415
Q = 20.7295302077 (4/3 = 5L+2.5s)

L = 63.16 to 100.00 cents (97.26 cents @ Q)
s = 0.00 to 63.16 cents (4.69 cents @ Q)

9/8 = 2L+s (189.47 to 200.00 cents)
4/3 = 5L+3s (500.00 to 505.26 cents)
generator = 4/3

notable EDOs: 31, 43, 50, 55

symmetric mode: LsLLsLsLLsLLsLsLLsL

all modes:
LsL LsLsLLsL LsLsLLsL

LsLLsLsL LsLLsLsL LsL
sLL sLsLLsLL sLsLLsLL

sLLsLsLL sLLsLsLL sLL
LLs LsLLsLLs LsLLsLLs

LLsLsLLs LLsLsLLs LLs
LsL sLLsLLsL sLLsLLsL

LsLsLLsL LsLsLLsL LsL


sLsLLsLL sLsLLsLL sLL

LsLLsLLs LsL LsLLsLLs
LsLLsLLs LsLLsLLs LLs

sLLsLLsL sLL sLLsLLsL
sLLsLLsL sLLsLLsL LsL

LLsLLsLs LLs LLsLLsLs


LsLLsLsL LsL LsLLsLsL


sLLsLsLL sLL sLLsLsLL


LLsLsLLs LLs LLsLsLLs


LsLsLLsL LsL LsLsLLsL


sLsLLsLL sLL sLsLLsLL

LsL LsLLsLLs LsLLsLLs
LsLLsLLs LLs LsLLsLLs

sLL sLLsLLsL sLLsLLsL
sLLsLLsL LsL sLLsLLsL

LLs LLsLLsLs LLsLLsLs


LsL LsLLsLsL LsLLsLsL

LsLLsLLs LsLLsLLs LsL
sLL sLLsLsLL sLLsLsLL

sLLsLLsL sLLsLLsL sLL
LLs LLsLsLLs LLsLsLLs

LLsLLsLs LLsLLsLs LLs

19_12_07_sLLsLsLL_sLL_sLLsLsLL.png

See also


References

  • Noted as omnitetrachordal by Paul Erlich no later than 2002. See tuning-math list messages 3685 and 10987.